210200120000000 has 1280 divisors, whose sum is σ = 598165749941760. Its totient is φ = 73242624000000.

The previous prime is 210200119999997. The next prime is 210200120000107. The reversal of 210200120000000 is 21002012.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 799239999869 + ... + 799240000131.

It is an arithmetic number, because the mean of its divisors is an integer number (467316992142).

Almost surely, 2^{210200120000000} is an apocalyptic number.

210200120000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210200120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299082874970880).

210200120000000 is an abundant number, since it is smaller than the sum of its proper divisors (387965629941760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210200120000000 is an frugal number, since it uses more digits than its factorization.

210200120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210200120000000 its reverse (21002012), we get a palindrome (210200141002012).

The spelling of 210200120000000 in words is "two hundred ten trillion, two hundred billion, one hundred twenty million", and thus it is an aban number.